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Zbl 0814.65049
Eisenstat, Stanley C.; Walker, Homer F.
Globally convergent inexact Newton methods. (English)
[J] SIAM J. Optim. 4, No.2, 393-422 (1994). ISSN 1052-6234; ISSN 1095-7189/e

Inexact Newton methods are formulated that incorporate features designed to improve convergence from arbitrary starting points. For each method, a basic global convergence result is established to the effect that, under reasonable assumption, if a sequence of iterates has a limit point at which $F'$ is invertible, then that limit point is a solution and a sequence converges to it.
[I.N.Molchanov (Kiev)]

MSC 2000:: *65H10 Systems of nonlinear equations (numerical methods)

Keywords: inexact Newton methods; global convergence

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